Isaiah has a collection of vintage action figures that is worth $210. If the collection appreciates at a rate of 12.1% per year, which equation represents the value of the collection after 3 years? V=210(1-0.121)^(3) V=210(1+0.121) V=210(0.121)^(3) V=210(1+0.121)(1+0.121)(1+0.121)

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Isaiah has a collection of vintage action figures that is worth  $210. If the collection appreciates at a rate of  12.1% per year, which equation represents the value of the collection after 3 years?  V=210(1-0.121)^(3)  V=210(1+0.121)  V=210(0.121)^(3)  V=210(1+0.121)(1+0.121)(1+0.121)

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Identify Values: We need to find the equation that correctly calculates the value of the collection after 3 years with an appreciation rate of 12.1% per year. The general formula for compound interest (which is similar to appreciation) is V = P(1 + r)^t, where V is the future value, P is the initial principal balance, r is the rate of interest per period, and t is the number of periods.Substitute Values: Let's identify the values from the problem: Initial value (P) = $210 Annual appreciation rate (r) = 12.1% = 0.121 (as a decimal) Number of years (t) = 3 Now we can substitute these values into the formula.Check Given Options: Substitute the values into the formula: V = P(1 + r)^t V = 210(1 + 0.121)^3 This equation represents the value of the collection after 3 years, taking into account the annual appreciation.Final Equation: Now let's check the given options to see which one matches our equation: V=210(1-0.121)^(3) - This is incorrect because it subtracts the rate instead of adding it. V=210(1+0.121) - This is incorrect because it does not account for compounding over 3 years. V=210(0.121)^(3) - This is incorrect because it only raises the rate to the power of 3, not the entire term (1 + rate). V=210(1+0.121)(1+0.121)(1+0.121) - This is the expanded form of our correct equation and is equivalent to V = 210(1 + 0.121)^3.

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